ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

• 
  A
• 
  B
• 
  C
• 
  D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

• 
  A
• 
  B
• 
  C
• 
  D

• A = B A
• B = C B
• A = C C
• None of these D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D

• A = C A
• A = B B
• B = C C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction D

The number of subsets of B = {1,2,3,4,5}

• 10 A
• 32 B
• 16 C
• 5 D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D